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Associated Primes of Powers of Ideals

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Ideals of Powers and Powers of Ideals

Part of the book series: Lecture Notes of the Unione Matematica Italiana ((UMILN,volume 27))

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Abstract

The primary decomposition of ideals in Noetherian rings is a fundamental result in commutative algebra and algebraic geometry. It is a far reaching generalization of the fact that every positive integer has a unique factorization into primes. We recall one version of this result.

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Author information

Authors and Affiliations

  1. Department of Mathematical Sciences, Politecnico di Torino, Torino, Italy

    Enrico Carlini

  2. Department of Mathematics, Tulane University, New Orleans, LA, USA

    Huy Tài Hà

  3. Department of Mathematics, University of Nebraska, Lincoln, NE, USA

    Brian Harbourne

  4. Department of Mathematics and Statistics, McMaster University, Hamilton, ON, Canada

    Adam Van Tuyl

Authors
  1. Enrico Carlini
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  2. Huy Tài Hà
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  3. Brian Harbourne
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  4. Adam Van Tuyl
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Carlini, E., Tài Hà, H., Harbourne, B., Van Tuyl, A. (2020). Associated Primes of Powers of Ideals. In: Ideals of Powers and Powers of Ideals. Lecture Notes of the Unione Matematica Italiana, vol 27. Springer, Cham. https://doi.org/10.1007/978-3-030-45247-6_1

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